Results 21 to 30 of about 9,437 (210)
Fractional Fokker-Planck Equations for Subdiffusion with Space-and-Time-Dependent Forces [PDF]
, 2010 We have derived a fractional Fokker-Planck equation for subdiffusion in a general space-and- time-dependent force field from power law waiting time continuous time random walks biased by Boltzmann weights.
B. I. Henry +7 more
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Controllability of Hilfer fractional Langevin evolution equations
Frontiers in Applied Mathematics and Statistics, 2023 The existence of fractional evolution equations has attracted a growing interest in recent years. The mild solution of fractional evolution equations constructed by a probability density function was first introduced by El-Borai. Inspired by El-Borai, Zhou and Jiao gave a definition of mild solution for fractional evolution equations with Caputo ...
Haihua Wang, Junhua Ku
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Fractional Langevin equation: Overdamped, underdamped, and critical behaviors [PDF]
Physical Review E, 2008 18 pages, 15 ...
Burov, S., Barkai, E.
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International Journal of Differential Equations, 2010 We study a Dirichlet boundary value problem for Langevin equation involving two fractional orders. Langevin equation has been widely used to describe the evolution of physical phenomena in fluctuating environments.
Bashir Ahmad, Juan J. Nieto
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On the Existence and Uniqueness of Solution to Fractional-Order Langevin Equation
Advances in Mathematical Physics, 2020 In this work, we give sufficient conditions to investigate the existence and uniqueness of solution to fractional-order Langevin equation involving two distinct fractional orders with unprecedented conditions (three-point boundary conditions including ...
Ahmed Salem, Noorah Mshary
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Transient aging in fractional Brownian and Langevin-equation motion [PDF]
Physical Review E, 2013 Stochastic processes driven by stationary fractional Gaussian noise, that is, fractional Brownian motion and fractional Langevin equation motion, are usually considered to be ergodic in the sense that, after an algebraic relaxation, time and ensemble averages of physical observables coincide. Recently it was demonstrated that fractional Brownian motion
Kursawe, Jochen +2 more
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From the Underdamped Generalized Elastic Model to the Single Particle Langevin Description
Mathematics, 2017 The generalized elastic model encompasses several linear stochastic models describing the dynamics of polymers, membranes, rough surfaces, and fluctuating interfaces.
Alessandro Taloni
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On Existence and Attractivity of Ψ-Hilfer Hybrid Fractional-order Langevin Differential Equations
International Journal of Analysis and Applications, 2023 The work reported in this article studies the equivalence relationship between fractional integral equation and Ψ-Hilfer Hybrid Langevin Differential Equations of fractional order with nonlocal initial conditions, and then we use this relationship to ...
Savita Rathee, Yogeeta Narwal
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On fractional Langevin equation involving two fractional orders in different intervals
Nonlinear Analysis, 2019 In this paper, we study a nonlinear Langevin equation involving two fractional orders α ∈ (0; 1] and β ∈ (1; 2] with initial conditions. By means of an interesting fixed point theorem, we establish sufficient conditions for the existence and uniqueness ...
Hamid Baghani, Juan J. Nieto
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Existence Results of Langevin Equations with Caputo–Hadamard Fractional Operator
Journal of Mathematics, 2023 In this manuscript, we deal with a nonlinear Langevin fractional differential equation that involves the Caputo–Hadamard and Caputo fractional operators, with nonperiodic and nonlocal integral boundary conditions.
Sombir Dhaniya +4 more
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